[Resource Topic] 2010/186: New software speed records for cryptographic pairings

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Title:
New software speed records for cryptographic pairings

Authors: Michael Naehrig, Ruben Niederhagen, Peter Schwabe

Abstract:

This paper presents new software speed records for the computation of cryptographic pairings. More specifically, we present details of an implementation which computes the optimal ate pairing on a 256-bit Barreto-Naehrig curve in only 4,379,912 cycles on one core of an Intel Core 2 Quad Q9550 processor. This speed is achieved by combining 1.) state-of-the-art high-level optimization techniques, 2.) a new representation of elements in the underlying finite fields which makes use of the special modulus arising from the Barreto-Naehrig curve construction, and 3.) implementing arithmetic in this representation using the double-precision floating-point SIMD instructions of the AMD64 architecture.

ePrint: https://eprint.iacr.org/2010/186

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